Question

in figure , find the value of x​

Answer 1

Answer:

✡x=100°☑

Step-by-step explanation:

⚫Let POR = x

⚫Firstly we have to draw a line AB which is passes through O and parallel to PQ and RS . AB||PQ||RS

⚫Now PQ || AB and PO is transversal then,

➡$\angle{QPO}+ \angle{POB}=180°$ (interior angle property)

➡$120°+ \angle{POB}=180°$

➡$\angle{POB}=180°-120°$

➡$\angle{POB}=60°$

Similarly,

RS||AB and RO is transversal then

➡$\angle{BOR}+ \angle{ORS}=180°$

➡$\angle{BOR}+140° =180°$

➡$\angle{BOR}=180°-140°$

➡$\angle{BOR}=40°$

Therefore,

➡$\angle{POB}+ \angle{BOR}=x$

➡$60°+40°=x$

➡$x=100°$

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